# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/175905688X:0341
# Permalink to this reading: https://leibnizlegible.com/page/175905688X:0341?run=74
# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 319, page id 175905688X:0341
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=341
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000341.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.82
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

bbXX
et i
UISCerII
abertet
+d
244b
COMMENTARLLTA LIDRAMIII. 319
Ouxe loco alterius exempli haberi queune, quorum nos admonet
AuchOr Pa8, 84.
Non distimilis erit quaestio, si datis A B ∞ a de D C D b, quae
raEUF FC ∞ X. Fiet enim aquatio
x + a +
P~X Y 443
2abb  =2 a abB ∞ O. In qua SI EOIIatUK
Secundus terminus, ponendo scilicer Z - a ∞ x, prodibit eequa-
tiOZ + X - bbZZ X = a a bb ∞0, (IrCZ + ∞ bbZ Z L a a b b, cujus
radix estZZ ∞ , bb -L- bV = bb- ] a a, hoc est,
2 ∞ V : b b - b V 1+ b b + a a, adCOGuC X ∞ = a - ]
V : bb- L b V =bb, ] a a. Sed siquaeratur B C ∞X, erit aequatio
XX∞ bb L b V= bb -= aa cujus radix est N ∞ V : bb - L b V bb L aa
Cujus cum praecedente consensus ex figura perspicitur. Denique
Ei guaratur AD, habebitur a quario X ∞ ∞ = b x - L a a, cujus radix
CAtx ∞ = = b. L V : bb. F a a. Quod similiter Superioris moniti
non inelegans est exemplum.
Elis adde sequentem quaestionem, quam olim ab Arichmerico
Subcilissimo. D. Nicolao FTuberri à Persyn, Parlemen(i, Fautore
meo honorando, Colrendaim aCcepi.
InVenire guatuOF nUeFOS, unitate se invicOM eXCC-
dentes, qui inter se mulciplicati Laciant 100.
Donatur primusx, secundusx L L, Tertius N- F 2, Q quarEIS
X = 3. Fietque aquatio x + - f 6 ∞ 3 - F TF X X - L 6 X ∞ 10O, Vel
∞ F f 6 ∞ 3  TY ∞ x F 6 ∞ = 200∞ O. CUJMS ULEIUS ECTIMINUS
dividi porest per 1, 2, 4, 5, 293 20, 25, 50,  200. Dirisio vero
Tentata per N B F, vel perx 8 2, vel per x 8 4 ec. non succedie.
Flinc sublato secundo termino, prodibit aequatio Z + 7 -- 2 =Z, Z X
997630, vel Z4∞2 =2Z - f 99 3, cuiusradix cAZZ 7
V 2OT =LrI, hoc CAt, ZDV V TOT L T2. ACproinde, cum ibi
tollendo secundum cerminum poluerimus X D Z = x =, fieE
~∞V V 1OT F 1 = = 13. FFIEGUE QUECSIEOFUII HIIIMETOTI, prI-
muIS V Y 101 F 5+ = 1=, secundus V V 101 - = 1= = =, ter-
rius V Y 10T  1= == =, ec quaruS V V TOF f X +-. 1 =. Quod
Facile probari potest.
Eibi nocandum, sicum hujus quaectionis Auchore pro primo
AUIIETO PONAUS F = 25, pro lecundox = =, procerriov. L 
P